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1. The encrypted version of a message is DSWO PYB PEX. If it was encrypted using the function f(p) = (p + 10) mod 26 (the Caesar cipher), what was the original message?
how many grams of k2cr207are therein 8.90×1024 molecules of k2cr207
1. Use the Euclidean algorithm to find the greatest common divisor (gcd) of each pairs of integers. Show the steps of calculation.
a) (900,140)
b) (128,729)
What current flows through an electric iron having a resistance of 13 ohms when connected across a line having 120 V?
In 8m3 of atmospheric air at 10°C temperature are compressed to volume of 2m3 at 100°C.
All of the previous questions used what we know as Euclidean geometry.
There are other geometries. One such is spherical geometry.
What can you say about the sum of the interior angles of a triangle in spherical geometry?
This question is concerning the completion of the square by using plane geometry
The area of a square of length x is : x
2
The area of a rectangle of sides x and y is : xy
Consider the expression : x
2 + 10x
Such can be considered as the sum of two areas viz square x
2 and a rectangle 10x
Now do the following (sketch essential)
Divide the rectangle into two equal areas viz 5x and 5x
Next to the square place the two rectangles with the side x in common. One to the RHS and the other below.
You will now have a ’nearly complete’ square
a) What is the length of each side of the ’missing square’ in your diagram
b) If you add the area of the missing square to make a big square, what is the area of the complete (big) square
c) By using the areas from your sketch, find the expressions ? and ?? in the following:
x
2 + 10x + (?)2 = (??)
A charge of 3,600 C passes through an electric lamp in 3.0 min. What is the current in the lamp?
Calculate total stock value of the stock available in a furniture shop.
This program simulate the stock management of a Furniture Shop. This shop deals with only two type of Furnitures BookShelf and DiningTable only. The program should accept details any 5 furnitures(each can be either BookShelf or DiningTable), the program should show a menu that allow the user to select choice of Furniture. After accepting the required no of Furniture details program will show accepted details and TotalCost of Accepted Stock
This exercise contains a base class named Furniture to hold the common properties of all type of Furnitures, and BookShelf and DiningTable class as child class with additional properties relevant to child classes. Program class has below functions:
+AddToStock(Furniture []) : int
+TotalStockValue(Furniture []) : double
+ShowStockDetails(Furniture []) : int
The program should also contain definitions for class types as suggested below:
+Furniture : class
+ BookShelf : class
+ DiningTable : class
Calculate total stock value of the stock available in a furnitur
This program simulate the stock management of a Furniture Shop. This shop deals with only two type of Furnitures BookShelf and DiningTable only. The program should accept details any 5 furnitures(each can be either BookShelf or DiningTable), the program should show a menu that allow the user to select choice of Furniture. After accepting the required no of Furniture details program will show accepted details and TotalCost of Accepted Stock
This exercise contains a base class named Furniture to hold the common properties of all type of Furnitures, and BookShelf and DiningTable class as child class with additional properties relevant to child classes. Program class has below functions:
+AddToStock(Furniture []) : int
+TotalStockValue(Furniture []) : double
-
+ShowStockDetails(Furniture []) : int
-
The program should also contain definitions for class types as suggested below:
+Furniture : class
+ BookShelf : class
+ DiningTable : class
-
